Signature von Einheiten und unverzweigte quadratische Erweiterungen total-reeller Zahlkörper

DOI10.1007/BF01899438zbMath0528.12010MaRDI QIDQ786857

Rudolf Haggenmueller

Publication date: 1982

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

totally real fieldunramified quadratic extension2-rank of class groupfree quadratic extensionPicard invariantsignatures of unitssystem of fundamental units

Mathematics Subject Classification ID

Quadratic extensions (11R11) Units and factorization (11R27) Class field theory (11R37) Iwasawa theory (11R23) Ramification and extension theory (11S15) Galois theory and commutative ring extensions (13B05) Totally real fields (11R80)

Related Items

Selmer groups and quadratic reciprocity ⋮ Classes of order 4 in the strict class group of number fields and remarks on unramified quadratic extensions of unit type ⋮ Reflexion theorems

Cites Work

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• The group of quadratic extensions
• Signatures of units and congruences (mod 4) in certain totally real fields.
• Signatures of units and congruences (mod 4) in certain real quadratic fields. II.
• Signatures of units and congruences (mod 4) in certain real quadratic fields.
• Classnumbers and unit signatures